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Finding the Fourth Proportional to 219,493.60, 328,977.92 and 101,045.68

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Solution

The fourth proportional to 219,493.60, 328,977.92 and 101,045.68 is: 151,447.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,493.60 : 328,977.92 = 101,045.68 : x
  2. Step 2: Convert to fraction form
    219,493.60/328,977.92 = 101,045.68/x
  3. Step 3: Cross multiply
    219,493.60x = 328,977.92 × 101,045.68
  4. Step 4: Simplify right side
    219,493.60x = 33,241,797,631.39
  5. Step 5: Solve for x
    x = 33,241,797,631.39/219,493.60
  6. Step 6: Final answer
    x = 151,447.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.